LCM of 246, 959, 754, 176, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 246, 959, 754, 176, 638 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 246, 959, 754, 176, 638. So, keep reading to learn more.
Given numbers are 246,959,754,176,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,959,754,176,638 is 7826682864.
Find LCM of 246,959,754,176,638 with Prime Factorization
| 2 | 246, 959, 754, 176, 638 |
| 11 | 123, 959, 377, 88, 319 |
| 29 | 123, 959, 377, 8, 29 |
| 123, 959, 13, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 123 x 959 x 13 x 8 x 1 = 7826682864
Therefore, the lowest common multiple of 246,959,754,176,638 is 7826682864.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
246 x 959 x 754 x 176 x 638 = 19973694668928
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
246 : 1, 2, 3, 6, 41, 82, 123, 246
959 : 1, 7, 137, 959
754 : 1, 2, 13, 26, 29, 58, 377, 754
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,959,754,176,638, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
959:7x 137
754:2x 13x 29
176:2x 2x 2x 2x 11
638:2x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11x 29 = 2552
Therefore, the value for common factors is 2552.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 19973694668928/(1x2552)
LCM = 19973694668928/2552
LCM = 7826682864
Thus, we can understand that the LCM of 246,959,754,176,638 is 7826682864.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 246, 959, 754, 176, 638
1. What is the LCM of 246, 959, 754, 176, 638?
Answer: LCM of 246, 959, 754, 176, 638 is 7826682864.
2. How to calculate the LCM of 246, 959, 754, 176, 638?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 246, 959, 754, 176, 638.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.